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A 6.00 % (m/v) nacl solution contains 10.6 g of nacl . what is the total volume ( v ) of the solution in milliliters?

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Final answer:

To find the total volume of the solution, use the mass/volume percent formula: Volume of solution (mL) = (mass of solute (g) / % m/v) x 100%. With 10.6 g of NaCl and a 6.00% concentration, the volume is 176.67 mL.

Step-by-step explanation:

To calculate the total volume of a 6.00% (m/v) NaCl solution containing 10.6 g of NaCl, we apply the definition of mass/volume percent which is given by the formula: % m/v = (mass of solute (g) / volume of solution (mL)) x 100%

By rearranging this formula to solve for the volume of the solution, we have:

Volume of solution (mL) = (mass of solute (g) / % m/v) x 100%

Using the given mass of NaCl (10.6 g) and the mass/volume percent (6.00%), we can calculate the volume as follows:

Volume of solution (mL) = (10.6 g / 6.00%) x 100% = (10.6 g / 0.06) = 176.67 mL

Therefore, the total volume of this NaCl solution is 176.67 mL.

User Jeff Yates
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